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xenn [34]
3 years ago
10

Use the distributive property to rewrite the algebraic expression below 4 (x + 2)

Mathematics
1 answer:
3241004551 [841]3 years ago
8 0
The answer is 4x + 8
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What is the area of parallelogram ABCD
larisa86 [58]

Answer:

20 square units

Step-by-step explanation:

You count how many across the parallelogram is (which is 4) and you count how high it is (which is 5). Then you multiply 5×4* which equals 20 square units.

*The reason you do this is because base×hieght=area

7 0
3 years ago
Read 2 more answers
(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.
valentinak56 [21]

Find the intersection of the two planes. Do this by solving for <em>z</em> in terms of <em>x</em> and <em>y </em>; then solve for <em>y</em> in terms of <em>x</em> ; then again for <em>z</em> but only in terms of <em>x</em>.

-4<em>x</em> + 2<em>y</em> - <em>z</em> = 1   ==>   <em>z</em> = -4<em>x</em> + 2<em>y</em> - 1

3<em>x</em> - 2<em>y</em> + 2<em>z</em> = 1   ==>   <em>z</em> = (1 - 3<em>x</em> + 2<em>y</em>)/2

==>   -4<em>x</em> + 2<em>y</em> - 1 = (1 - 3<em>x</em> + 2<em>y</em>)/2

==>   -8<em>x</em> + 4<em>y</em> - 2 = 1 - 3<em>x</em> + 2<em>y</em>

==>   -5<em>x</em> + 2<em>y</em> = 3

==>   <em>y</em> = (3 + 5<em>x</em>)/2

==>   <em>z</em> = -4<em>x</em> + 2 (3 + 5<em>x</em>)/2 - 1 = <em>x</em> + 2

So if we take <em>x</em> = <em>t</em>, the line of intersection is parameterized by

<em>r</em><em>(t)</em> = ⟨<em>t</em>, (3 + 5<em>t</em> )/2, 2 + <em>t</em>⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

<em>r</em><em>(t)</em> = ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩

(a) The tangent vector to <em>r</em><em>(t)</em> is parallel to this line, so you can use

<em>v</em> = d<em>r</em>/d<em>t</em> = d/d<em>t</em> ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩ = ⟨2, 5, 2⟩

or any scalar multiple of this.

(b) (-1, -1, 1) indeed lies in both planes. Plug in <em>x</em> = -1, <em>y</em> = 1, and <em>z</em> = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,

<em>r</em><em>(t)</em> = ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩

3 0
3 years ago
What is the product to 20×1.59
mote1985 [20]

Answer:

The correct answer is 31.8

Step-by-step explanation:

HAVE A GOOD DAY!

7 0
2 years ago
What is 99.96 rounded to the nearest tenth​
nirvana33 [79]

Answer:

It is 100. You round the 6 to the 9 which makes the 9 round the 99 which makes it 100.

3 0
3 years ago
Find the value of'y'from the given figure<br><img src="https://tex.z-dn.net/?f=class8" id="TexFormula1" title="class8" alt="clas
telo118 [61]

Answer:

y = 30

<u>Skills needed: Angle Geometry</u>

Step-by-step explanation:

1) First, let's see what we should know prior to solving.

---> We have to find the value of y, and looking at that diagram, we have to create an equation.

---> The angle measure of a straight line is 180 degrees, otherwise known as a straight angle (a straight angle is 180 degrees).

---> When you add 3y+3y, you can set that sum equal to 180. This is because the two angles marked 3y added together make a straight line, which is a straight angle.

(Note: In geometry, ONE OF THE THINGS WE CAN ASSUME is that there is a straight line there.)

-------------------------------------------------------------------------------------------------------------

2) Now, the equation would be:

3y+3y=180

6y=180 --> Combining 3y and 3y (3+3 = 6)

y = 180\div6 --> Dividing by 6 on both sides, to get y by itself.

y=30 ---> 180 \div 6 is 30, so y is equal to 30.

-------------------------------------------------------------------------------------------------------------

y=30

6 0
2 years ago
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